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Question

Question: An iron tyre of diameter 2 m is to be fitted on to a wooden wheel of diameter 2.01 m. The temperatur...

An iron tyre of diameter 2 m is to be fitted on to a wooden wheel of diameter 2.01 m. The temperature to which the tyre must be heated, ifa = 11 × 10–6/0C and room temperature is 200C, will be –

A

474.50C

B

490.50C

C

440.50C

D

460.50C

Answer

474.50C

Explanation

Solution

Dq = Δllα\frac{\Delta\mathcal{l}}{\mathcal{l}\alpha} = 0.012×11×106\frac{0.01}{2 \times 11 \times 10^{- 6}} = 10422\frac{10^{4}}{22} = 454.5

q = 454.5 + 20 = 474.50C